To challenge the assumptions of this question, I don't think it's the case that Jews were waiting for Jesus, exactly. First, the theological claim that they were is not really a historical discussion. But second, and more interestingly, Jewish messianic expectations were neither uniform nor in harmony with what Jesus is supposed to have done.

It seems the Pharisees, for instance, were awaiting some sort of righteous king of the Davidic line to usher in an eschatological era of peace. The Qumran community seems to have been expecting a being who would defeat the forces of evil in a final end-times battle. Neither of those matches terribly well with Jesus. I mean, both those things are present in Christian theology, but there's still quite a distance between that and Jesus. Particularly in the crucifixion/resurrection, trinity, and theological role of Jesus acting to rid people of sins (the exact mechanism of which is debated by Christians, I think). There's a reason the majority of Jews in Judea did not become Christians--Jesus was simply not the Jewish messiah template (or rather, any of the Jewish messiah templates).

Really, the question that is answerable is what religions have waited for some sort of end-times figure. Judaism in the 1st century was one, perhaps other experts here can weigh in with others.

If you're talking about waiting for a Messiah in general and not specifically Jesus, Twelver Shi'a Islam centers around belief in the eventual return of a messianic figure known as the Mahdi. The Mahdi is held to be the Twelfth Imam, Muhammad ibn Hasan, a descendant of Muhammad, who, after a long period of Occultation, will return alongside Jesus to bring justice and peace to the world.